9 citations · 59 across the 22 of their papers we have counts for
22 papers
Consensus in Complex Networks with Noisy Agents and Peer Pressure
Christopher Griffin, Anna Squicciarini, Feiran Jia
In this paper we study a discrete time consensus model on a connected graph with monotonically increasing peer-pressure and noise perturbed outputs masking a hidden state. We assum…
Stability of Dining Clubs in the Kolkata Paise Problem with and without Cheating
Akshat Harlalka, Andrew Belmonte, Christopher Griffin
We introduce the idea of a dining club to the Kolkata Paise Restaurant Problem. In this problem, agents choose (randomly) among restaurants, but if multiple agents choose t…
Completely Integrable Replicator Dynamics Associated to Competitive Networks
Josh Paik, Christopher Griffin
The replicator equations are a family of ordinary differential equations that arise in evolutionary game theory, and are closely related to Lotka-Volterra. We produce an infinite f…
Community Formation in Wealth-Mediated Thermodynamic Strategy Evolution
Connor Olson, Andrew Belmonte, Christopher Griffin
We study a dynamical system defined by a repeated game on a 1D lattice, in which the players keep track of their gross payoffs over time in a bank. Strategy updates are governed by…
Imitation of Success Leads to Cost of Living Mediated Fairness in the Ultimatum Game
Yunong Chen, Andrew Belmonte, Christopher Griffin
The mechanism behind the emergence of cooperation in both biological and social systems is currently not understood. In particular, human behavior in the Ultimatum game is almost a…
A Finite Population Destroys a Traveling Wave in Spatial Replicator Dynamics
Christopher Griffin, Riley Mummah, Russ deForest
We derive both the finite and infinite population spatial replicator dynamics as the fluid limit of a stochastic cellular automaton. The infinite population spatial replicator is i…